Question

A general formula for the second degree derivative?

score 507 · Answer 1 · 2026-04-13 07:50:02

A general formula for the second degree derivative?

Published on 13 Apr 2026 - 7:50

score 58 · Answer 2 · 2026-04-23 06:10:07

Let $f\in(-a,a)\smallsetminus\{0\} \to \mathbb{R}$ prove that: $\lim_{x\rightarrow 0} f(x)=L \Leftrightarrow \lim_{x\rightarrow 0} f( \sin(x))=L$

score 54 · Answer 3 · 2026-04-15 22:10:24

54

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How to calculate $\lim_{n \rightarrow \infty}$ $ n^{b}/a^{n}$

Published on 15 Apr 2026 - 22:10

score 70 · Answer 4 · 2026-04-16 19:28:24

70

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Why $\lim\limits_{x\to 1}{(\frac{1}{x^2-x} - \frac{3}{x^3-1})} = (\infty - \infty) $

Published on 16 Apr 2026 - 19:28

score 106 · Answer 5 · 2026-04-14 09:50:14

106

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Help finding $\lim_{x\to \pi/2} (\tan x)^{1/(\pi/2-x)}$

Published on 14 Apr 2026 - 9:50

score 59 · Answer 6 · 2026-04-16 01:05:38

59

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If $a_n \le b_n \le a_{n+1}$ prove that $\overline{\lim}_{n \to \infty} a_n=\overline{\lim}_{n \to \infty} b_n$

Published on 16 Apr 2026 - 1:05

score 75 · Answer 7 · 2026-04-17 05:12:10

75

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Limit of a function in R^2 at a point.

Published on 17 Apr 2026 - 5:12

score 84 · Answer 8 · 2026-04-29 11:22:06

84

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$ \lim_{n\rightarrow \infty}[a_n-a]=0 $ implies $ \lim_{n\rightarrow \infty}\frac{1}{n}[a_n-a]=0 $?

Published on 29 Apr 2026 - 11:22

score 46 · Answer 9 · 2026-04-29 12:19:28

46

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Convergent Sequence Composed of Convergent Sequences

Published on 29 Apr 2026 - 12:19

score 39 · Answer 10 · 2026-04-17 11:51:45

39

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Derivative at $x=0$ for $\frac{1}{x\ln(2)} - \frac{1}{2^x - 1}$

Published on 17 Apr 2026 - 11:51

score 226 · Answer 11 · 2026-04-23 20:03:59

226

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Convergence concerning the $\alpha$th derivative of $f(x)=x^\alpha-\alpha^x$

Published on 23 Apr 2026 - 20:03

score 118 · Answer 12 · 2026-04-29 12:21:36

118

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What is the limit of the sum $\frac 1 n+\frac 1 {n+1}+ \cdots+\frac 1 {2n}$?

Published on 29 Apr 2026 - 12:21

score 153 · Answer 13 · 2026-04-16 16:58:26

153

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Let $f:(-a,a)\setminus\{0\}\to (0,\infty)$ satisfying $\lim_{x\to 0} (f(x)+ \frac{1}{f(x)}) = 2.$ Show that $\lim_{x\to 0} f(x) = 1$

Published on 16 Apr 2026 - 16:58

score 73 · Answer 14 · 2026-04-14 15:25:59

73

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Find the limit of some roots raised to n

Published on 14 Apr 2026 - 15:25

score 60 · Answer 15 · 2026-04-11 04:41:26

60

Views

$\limsup a_n=-\infty$ if $\{a_n\}$ does not have a subsequence which is bounded below

Published on 11 Apr 2026 - 4:41

List Question

A general formula for the second degree derivative?

Let $f\in(-a,a)\smallsetminus\{0\} \to \mathbb{R}$ prove that: $\lim_{x\rightarrow 0} f(x)=L \Leftrightarrow \lim_{x\rightarrow 0} f( \sin(x))=L$

How to calculate $\lim_{n \rightarrow \infty}$ $ n^{b}/a^{n}$

Why $\lim\limits_{x\to 1}{(\frac{1}{x^2-x} - \frac{3}{x^3-1})} = (\infty - \infty) $

Help finding $\lim_{x\to \pi/2} (\tan x)^{1/(\pi/2-x)}$

If $a_n \le b_n \le a_{n+1}$ prove that $\overline{\lim}_{n \to \infty} a_n=\overline{\lim}_{n \to \infty} b_n$

Limit of a function in R^2 at a point.

$ \lim_{n\rightarrow \infty}[a_n-a]=0 $ implies $ \lim_{n\rightarrow \infty}\frac{1}{n}[a_n-a]=0 $?

Convergent Sequence Composed of Convergent Sequences

Derivative at $x=0$ for $\frac{1}{x\ln(2)} - \frac{1}{2^x - 1}$

Convergence concerning the $\alpha$th derivative of $f(x)=x^\alpha-\alpha^x$

What is the limit of the sum $\frac 1 n+\frac 1 {n+1}+ \cdots+\frac 1 {2n}$?

Let $f:(-a,a)\setminus\{0\}\to (0,\infty)$ satisfying $\lim_{x\to 0} (f(x)+ \frac{1}{f(x)}) = 2.$ Show that $\lim_{x\to 0} f(x) = 1$

Find the limit of some roots raised to n

$\limsup a_n=-\infty$ if $\{a_n\}$ does not have a subsequence which is bounded below

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